Lesson 6.1: Populations and Samples

​Lesson 6.1

Populations and Samples​

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Definitions:

Population: ​The total group or objects that you will be taking your sample from. Populations are usually the larger number.

Sample:​ A small part of the population that you are taking a survey on. The sample is usually the smaller number.

​Representative Sample: A sample that accurately reflects the population. When we are taking a sample our goal is to make it representative.

Random Sample: A sample that is conducted completely at random. Each person in the population has an equal chance of being selected.​

The sample will be a representative sample.​

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​Definitions:

Systematic Sample: A sample that is conducted based on a certain rule, such as every third of fifth person gets surveyed. This will yield a representative sample.

Convenience Sample: A convenience sample​ is done out of convenience such as asking 5 people around you or your closest friends. This will not yield a representative sample.

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Today's Goal:

In today's lesson we are going to learn the different type of sampling methods. Students are also going to learn the difference between a population and a sample.

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Example:

Of the 652 people on a cruise ship, 55 of them attended a magic show.

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What is the population?

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What is the sample?​

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Multiple Choice

Of the 2,000 students in Golden Valley School District, 400 attend RMS. What is the population and sample in this problem?

• Population:

  400 at RMS

  Sample:

  2,000 in GVUSD

• Population:

  2,400 Total

  Sample:

  1,600 Difference

• Population:

  2,000 in GVUSD

  Sample:

  400 at RMS

• Population:

  2,400 Total

  Sample:

  400 at RMS

Example:

A journalism teacher wants to determine whether his students would prefer to attend a national writing convention or tour of a local newspaper press. The journalism teacher has a total of 120 students in 4 different classes. What would be a representative sample in this situation?​

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Multiple Choice

Mr. Miranda and Mr. Carbone want to take a survey about the Chapter 1 Test from their 7th grade students. Which method would yield a representative sample?

• Mr. Miranda asking all of the students in his 1st period class their opinion.

• Mr. Carbone asking 10 people from each class their opinion.

• Mr. Miranda and Mr. Carbone picking their 10 best students to survey.

• Mr. Miranda and Mr. Carbone asking 5 students per class their opinion.

Example:

A national appliance store chain is reviewing the performances of its 400 sales associate trainees. How can the store choose a representative sample of the trainees?

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Multiple Select

Dr. Grossman is taking a survey of the students at RMS. How can he insure his survey is a representative sample of the school?

• Survey 25 students from the 8th grade class.

• Ask all of the teachers their opinion on the topic and have them ask their best students.

• Survey 25 students at random from across the school.

• Survey 5 students per class during 1st period.

​Mr. Carbone took a survey of his students and found out that 20 out of 100 kids bring their own lunch to school. Use this survey to predict how many students at RMS (400 kids) bring their lunch to school.

​Conclusion: Write two complete sentences about what you learned.